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PH 103

PH 103. Dr. Cecilia Vogel Lecture 6 NO QUIZDOM TODAY. Review. Lenses types focal point Images thin lens equation. Outline. Lenses using thin lens equation ray diagrams. Lens Equations and Sign Conventions. Thin lens equation. d o = object distance

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PH 103

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  1. PH 103 Dr. Cecilia Vogel Lecture 6 NO QUIZDOM TODAY

  2. Review • Lenses • types • focal point • Images • thin lens equation Outline • Lenses • using thin lens equation • ray diagrams

  3. Lens Equations and Sign Conventions • Thin lens equation • do =object distance • positive for real object, in front • + for any real physical object • negative if virtual, behind • di =image distance • positive for real image, behind • negative for virtual image, in front • f = focal length • positive if converging • negative if diverging

  4. Magnification Equation and Sign Conventions • ho & hi =object & image height • positive if upright • negative if inverted • M = magnification • positive if lens makes an image that is same side up as object • negative if lens inverts image

  5. Rubric for Ray Diagrams Neatness, clarity, distances drawn to scale Show appropriate type of lens One end of object and of image on axis Label object, image, and focal point(s) Accurately draw at least two rays* Where the ray actually goes, draw solid line otherwise dashed line Accurately find image position, size, orientation

  6. * Accurately draw at least two rays M-ray (middle or central ray) at the center of lenses, the two surfaces are parallel light passes thru just like it would a window pane M-ray from object passes straight thru center of lens

  7. * Accurately draw at least two rayscont’d P-ray (parallel or principle ray) what happens to a ray that approaches lens parallel to axis? depends on type of lens P-ray for converging lens comes from object to lens parallel to axis then converges toward the axis, passing thru focal point behind lens P-ray for diverging lens comes from object to lens parallel to axis then diverges away from the axis, on line with (but not thru) focal point in front of lens

  8. Ray Diagrams • Examples on board • f = +25 cm, do = 75 cm, • f = +25 cm, do = 10 cm, • f = -25 cm, do = 55 cm, • Check out Java applet • Draw diagram to find image position and size • Also calculate example answers: • image distance • and magnification

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